Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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[Figure 51]
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[Figure 52]
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& parallelas DE, FG eſſe gradus velocitatis. </
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<
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">Vides ergo quantum repugnet poſitio huiuſmodi;
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ac peruidere ſimul potes, quantum interſit diſeriminis
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inter hypotheſin vtramque. </
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">Nam in ea quidem,
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quam ſequor, cùm partes lineæ AC, fiant partes
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temporis, linea DE optimè repræſentat velocitatem
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aquiſitam in nfie primi, & ſimul triangulum ADE op
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timè repræſentat vnum ſpatium, dum ea acquiritur,
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tranſactum: FG verò optimè repræſentat velocita
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tem acquiſitam in fine ſecundi; & ſimul trapezion
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DFGE optimè repræſentat tribus triangulis tria ſpa
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tia peracta, quorum vnum debeatur gradui FP, prout
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interim acquiſito, & alij duo gradui PG, prout per
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ſeueranti ab vſque puncto E. </
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<
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">At in ea, quam tu fe
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queris, neque habes, quò referas tempus, cuius etiam
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tua definitio non meminit: neque cùm plures ſpatij
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partes æquali tempore percurrantur, illarum diſtin
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ctionem habes, vt ad eas referas gradus inæqualeis ve
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locitatis. </
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">Addo autem, quædam præclarè ex mea
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hypotheſi intelligi, quibus nihil ſimile ex tua. </
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Primò, Quemadmodum omnes velocitatis gradus
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ſemel acquiſiti inuariati maneant, & ſingulis tempo
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ribus æquipolleant conſtanter duobus gradibus, hoc
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eſt duobus ſpatijs æqualibus primo percurrendis ſuf
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ficiant; vt deſignatur continua ſerie quadrangulo
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rum æqualium, DG, PI, QL, itemque FQ,
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RM, &c. </
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<
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">Deinde, Quemadmodum primo tempore
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vnicum ſpatium percurratur, quatenus vnicus eſt gra
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dus, qui acquiritur, & nullus interim, qui permaneat:
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In ſecundo autem ſint tria, quorum vnum quidem per </
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